| 关于色散方程u_t=au_(xxx)的三层显式差分格式 |
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| 引用本文： | 黎益.关于色散方程u_t=au_(xxx)的三层显式差分格式[J].四川大学学报(自然科学版),1988(3). |
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| 作者姓名： | 黎益 |
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| 摘 要： | 本文讨论色散方程U_t=au_(xxx)的三层显式差分格式,探讨“点区间”对格式稳定性的影响.本文说明,增大点区间可改善稳定性.本文建立的格式(1.7)～(1.8),(3.4)与(3.5)～(3.6),它们的稳定条件都比现有格式好.其中格式(1.7)与(1.8)的稳定条件(2.18)似乎是在点区间x_(m-3),x_(m+3)]上现有同类格式中最好的
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| 关 键 词： | 显式差分格式 点区间 稳定性条件 色散方程 |
THREE-LEVEL EXPLICIT DIFFERENCE SCHEMES FOR THE DISPERSION EQUATION u1 = au_(x) |
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| Li Yi.THREE-LEVEL EXPLICIT DIFFERENCE SCHEMES FOR THE DISPERSION EQUATION u1 = au_(x)[J].Journal of Sichuan University (Natural Science Edition),1988(3). |
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| Authors: | Li Yi |
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| Abstract: | In this paper, we introduce the concept of "point interval" and discuss the effect of point interval to stability of difference schemes. The three-level explicit difference schemes involving one parameter b, (1.7) and (1.8), are established. Their best stability condition is R=2.3945297 corresponding to the optimal value b= -1.7187843.At present, it seems to be the best condition among the schemes of the same type avail-able for the point interval xm_3, xm+3]. |
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| Keywords: | explicit difference schemes point interval stability condition dispersion equation |
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